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Journal
First Published
16 Jun 2010
Publication timeframe
2 times per year
Languages
English
access type Open Access

On Balancing and Lucas-balancing Quaternions

Published Online: 27 Apr 2021
Page range: -
Received: 31 Jul 2017
Accepted: 09 Oct 2020
Journal Details
License
Format
Journal
First Published
16 Jun 2010
Publication timeframe
2 times per year
Languages
English
Abstract

The aim of this article is to investigate two new classes of quaternions, namely, balancing and Lucas-balancing quaternions that are based on balancing and Lucas-balancing numbers, respectively. Further, some identities including Binet’s formulas, summation formulas, Catalan’s identity, etc. concerning these quaternions are also established.

Keywords

MSC 2010

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